GCD of 616, 138, 165, 112 Calculator

Given Input numbers are 616, 138, 165, 112

In the factoring method, we have to find the divisors of all numbers

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (616, 138, 165, 112) = 1.

Given numbers are 616, 138, 165, 112

The list of prime factors of all numbers are

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 138 are 2 x 3 x 23

Prime factors of 165 are 3 x 5 x 11

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 616, 138, 165, 112

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(616, 138) = 42504

GCD(616, 138) = ( 616 x 138 ) / 42504

= 616 / 138

= 616

Step2:

LCM(2, 165) = 330

GCD(2, 165) = ( 2 x 165 ) / 330

= 2 / 165

= 2

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 616, 138, 165, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 677, 295, 282
• GCD of 102, 902, 633, 304
• GCD of 180, 860, 271, 154
• GCD of 958, 842, 235, 536
• GCD of 163, 846, 559, 371

Given numbers are 616, 138, 165, 112
The greatest common divisor of numbers 616, 138, 165, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 138, 165, 112 is 1.

1. What is the GCD of 616, 138, 165, 112?

GCD of given numbers 616, 138, 165, 112 is 1

2. How to calculate the greatest common divisor of 616, 138, 165, 112?

We can find the highest common divisor of 616, 138, 165, 112 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 616, 138, 165, 112 i.e 1.

3. How can I use the GCD of 616, 138, 165, 112Calculator?

Out the numbers 616, 138, 165, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.